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Finding the Fourth Proportional to 4,704.66, 6,489.57 and 3,111.30

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Solution

The fourth proportional to 4,704.66, 6,489.57 and 3,111.30 is: 4,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.66 : 6,489.57 = 3,111.30 : x
  2. Step 2: Convert to fraction form
    4,704.66/6,489.57 = 3,111.30/x
  3. Step 3: Cross multiply
    4,704.66x = 6,489.57 × 3,111.30
  4. Step 4: Simplify right side
    4,704.66x = 20,190,999.14
  5. Step 5: Solve for x
    x = 20,190,999.14/4,704.66
  6. Step 6: Final answer
    x = 4,291.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.